Information on Result #1718098
Digital (88, 104, 18053)-net over F4, using net defined by OOA based on linear OOA(4104, 18053, F4, 21, 16) (dual of [(18053, 21), 379009, 17]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(4104, 54160, F4, 3, 16) (dual of [(54160, 3), 162376, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4104, 54162, F4, 3, 16) (dual of [(54162, 3), 162382, 17]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4104, 54162, F4, 16) (dual of [54162, 54058, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(4104, 65576, F4, 16) (dual of [65576, 65472, 17]-code), using
- construction X applied to C([0,8]) ⊂ C([0,5]) [i] based on
- linear OA(497, 65537, F4, 17) (dual of [65537, 65440, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 416−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(465, 65537, F4, 11) (dual of [65537, 65472, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 416−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(47, 39, F4, 4) (dual of [39, 32, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
- construction X applied to C([0,8]) ⊂ C([0,5]) [i] based on
- discarding factors / shortening the dual code based on linear OA(4104, 65576, F4, 16) (dual of [65576, 65472, 17]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4104, 54162, F4, 16) (dual of [54162, 54058, 17]-code), using
- discarding factors / shortening the dual code based on linear OOA(4104, 54162, F4, 3, 16) (dual of [(54162, 3), 162382, 17]-NRT-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.